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What is the Least Common Multiple of 7737 and 7746?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 7737 and 7746 is 19976934.

LCM(7737,7746) = 19976934

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Least Common Multiple of 7737 and 7746 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7737 and 7746, than apply into the LCM equation.

GCF(7737,7746) = 3
LCM(7737,7746) = ( 7737 × 7746) / 3
LCM(7737,7746) = 59930802 / 3
LCM(7737,7746) = 19976934

Least Common Multiple (LCM) of 7737 and 7746 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7737 and 7746. First we will calculate the prime factors of 7737 and 7746.

Prime Factorization of 7737

Prime factors of 7737 are 3, 2579. Prime factorization of 7737 in exponential form is:

7737 = 31 × 25791

Prime Factorization of 7746

Prime factors of 7746 are 2, 3, 1291. Prime factorization of 7746 in exponential form is:

7746 = 21 × 31 × 12911

Now multiplying the highest exponent prime factors to calculate the LCM of 7737 and 7746.

LCM(7737,7746) = 31 × 25791 × 21 × 12911
LCM(7737,7746) = 19976934